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Finding the Fourth Proportional to 659,679.86, 910,455.93 and 417,984.98

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Solution

The fourth proportional to 659,679.86, 910,455.93 and 417,984.98 is: 576,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,679.86 : 910,455.93 = 417,984.98 : x
  2. Step 2: Convert to fraction form
    659,679.86/910,455.93 = 417,984.98/x
  3. Step 3: Cross multiply
    659,679.86x = 910,455.93 × 417,984.98
  4. Step 4: Simplify right side
    659,679.86x = 380,556,899,139.65
  5. Step 5: Solve for x
    x = 380,556,899,139.65/659,679.86
  6. Step 6: Final answer
    x = 576,881.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.